#12802: test containment of ideals in class MPolynomialIdeal
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       Reporter:  mariah                          |         Owner:  AlexGhitza  
 
           Type:  enhancement                     |        Status:  needs_work  
 
       Priority:  minor                           |     Milestone:  sage-5.1    
 
      Component:  algebra                         |    Resolution:              
 
       Keywords:  sd40.5, groebner bases, ideals  |   Work issues:  
documentation
Report Upstream:  N/A                             |     Reviewers:              
 
        Authors:  John Perry                      |     Merged in:              
 
   Dependencies:                                  |      Stopgaps:              
 
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Comment (by john_perry):

 Okay, so the problems were real, but were discovered because there's a
 very weird test of elements of quadratic number fields: basically, if a
 and b are distinct elements of a quadratic number field, then a>b and b>a
 are always true:
 {{{
 sage: K.<a> = NumberField(x^2 + 1)
 sage: a > a + 1
 True
 }}}
 That strikes me as really, really '''odd''' behavior.

 Anyway, I'm about to upload a new patch that undoes the stupidity I did to
 `sage.rings.ideal.py`, adds some documentation to the `__cmp__` function
 in `Ideal_generic`, then takes care of the things that need taking care of
 down in `sage.rings.polynomial.multi_polynomial_idea.py`. I've also added
 documentation. (Sorry about that -- it didn't occur to me because the
 stuff I was rewriting wasn't documented, either.) It also removes a
 boatload of whitespace.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/12802#comment:4>
Sage <http://www.sagemath.org>
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